The primary purpose of the EU is administering a common market that consists of a large number of sovereign states. Each state naturally wants to be protectionist and give domestic businesses advantages over those from other member states. The EU can't allow that, as it would destroy the common market.

As a consequence, the EU has a lot of experience in pushing against powerful interests. It's doing that all the time, and it's also moderately successful at that. While many attempts at regulating giant businesses or forcing member states to do something they don't want ultimately fail, sometimes the EU manages to get things done.